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Finding the Third Proportional to 157,108 and 243,654

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Solution

The third proportional to 157,108 and 243,654 is: 377,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,108 : 243,654 = 243,654 : x
  2. Step 2: Convert to fraction form
    157,108/243,654 = 243,654/x
  3. Step 3: Cross multiply
    157,108x = 243,654 × 243,654
  4. Step 4: Simplify right side
    157,108x = 59,367,271,716
  5. Step 5: Solve for x
    x = 59,367,271,716/157,108
  6. Step 6: Final answer
    x = 377,875.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.